Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in $$\mathbf{R}^\mathbf{4}$$ |
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| Authors: | Hui Liu Yiming Long |
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| Institution: | 1.School of Mathematics and Statistics,Wuhan University,Wuhan,China;2.Chern Institute of Mathematics and LPMC,Nankai University,Tianjin,China;3.Beijing Advanced Innovation Center for Imaging Technology Capital Normal University,Beijing,China |
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| Abstract: | In this paper, we prove that if a symmetric compact star-shaped hypersuface in \(\mathbf{R}^4\) carries exactly two geometrically distinct closed characteristics, then both of them must be irrationally elliptic. |
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